7164567072 has 288 divisors, whose sum is σ = 22855089600. Its totient is φ = 2182422528.

The previous prime is 7164567071. The next prime is 7164567089. The reversal of 7164567072 is 2707654617.

7164567072 is a `hidden beast` number, since 7 + 16 + 4 + 567 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (7164567071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20296048 + ... + 20296400.

It is an arithmetic number, because the mean of its divisors is an integer number (79357950).

Almost surely, 2^7164567072 is an apocalyptic number.

7164567072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7164567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427544800).

7164567072 is an abundant number, since it is smaller than the sum of its proper divisors (15690522528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7164567072 is a wasteful number, since it uses less digits than its factorization.

7164567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7164567072 is about 84643.7657007295. The cubic root of 7164567072 is about 1927.8059554599.

The spelling of 7164567072 in words is "seven billion, one hundred sixty-four million, five hundred sixty-seven thousand, seventy-two".